441808960 has 28 divisors (see below), whose sum is σ = 1052058348. Its totient is φ = 176723456.

The previous prime is 441808951. The next prime is 441808973. The reversal of 441808960 is 69808144.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 381342784 = 7776^2 + 19528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690007 + ... + 690646.

Almost surely, 2^441808960 is an apocalyptic number.

441808960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441808960 is an abundant number, since it is smaller than the sum of its proper divisors (610249388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441808960 is a wasteful number, since it uses less digits than its factorization.

441808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380670 (or 1380660 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 441808960 is about 21019.2521275140. The cubic root of 441808960 is about 761.6313986184.

The spelling of 441808960 in words is "four hundred forty-one million, eight hundred eight thousand, nine hundred sixty".